Response of small amplitude slosh to time-dependent effective gravity
Abstract
Small amplitude, linearized wave theory is used to derive a differential equation for the sloshing wave height under conditions in which a sloshing liquid drains out of a tank of circular but variable cross sectional area, allowing for changes of effective gravity with time. A few illustrative examples are given in which analytical results can be displayed and interpreted. Numerical integrations are presented for various examples of interest with respect to slosh behavior in the bottom dome of the Space Shuttle External Tank during thrust termination, particularly as this bears on scavenging of cryogens.
- Publication:
-
AIAA
- Pub Date:
- June 1984
- Bibcode:
- 1984jpco.confR....T
- Keywords:
-
- Drainage;
- Gravitational Effects;
- Liquid Sloshing;
- Propellant Tanks;
- Propellant Transfer;
- Reduced Gravity;
- Amplitudes;
- Differential Equations;
- External Tanks;
- Scavenging;
- Space Shuttle Orbiters;
- Thrust Termination;
- Fluid Mechanics and Heat Transfer